A two-point-Padé-approximant-based method for bounding some trigonometric functions

Inequalities are frequently used for solving practical engineering problem. There are two key issues of bounding inequalities; one is to find the bounds, and the other is to prove the bounds. This paper takes Wilker type inequalities as an example, presents a two-point-Padé-approximant-based method...

Descripción completa

Detalles Bibliográficos
Autores principales: Chen, Xiao-Diao, Ma, Junyi, Jin, Jiapei, Wang, Yigang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6010514/
https://www.ncbi.nlm.nih.gov/pubmed/30137727
http://dx.doi.org/10.1186/s13660-018-1726-7
Descripción
Sumario:Inequalities are frequently used for solving practical engineering problem. There are two key issues of bounding inequalities; one is to find the bounds, and the other is to prove the bounds. This paper takes Wilker type inequalities as an example, presents a two-point-Padé-approximant-based method for finding the bounds, and it also provides a method to prove the bounds in a new way. It not only recovers the estimates in Mortici’s method, but it also provides new improvements of estimates obtained from prevailing methods. In principle, it can be applied for other inequalities.

Ejemplares similares